Christopher White

36 reputation

	36 reputation	bio	website		visits	member for	1 year, 4 months
3 badges		location			seen	Apr 12 at 22:27

9 Actions

Jan 1	awarded	Supporter
Dec 7	comment	Electromagnetism for Mathematician William: I think you're right, but the thing is you can leverage the fact that you're on a four-manifold to get an incredibly beautiful formulation of electrodynamics. IIRC (I don't have MTW in front of me) you write the Faraday tensor--actually a differential form--$F$, in terms of which Maxwell's equations become $$F^{ij}_{;j} = J^i$$ and $F^{i[j}_{;k]} = (dF)^{ij}_{k} = 0$, where I write $d$ for the exterior derivative. This can be further simplified by noting that the second implies (I think) that $F = dA$ for some 1-form $A$, the vector potential.
Nov 24	answered	Electromagnetism for Mathematician
Nov 24	awarded	Editor
Nov 24	comment	What does the general solution of the Schrodinger equation represent for the particle in a box problem? Ach. You're very right. Fixed. Thank you!
Nov 24	revised	What does the general solution of the Schrodinger equation represent for the particle in a box problem? Corrected the typos pointed out by Stan Liou (plus some others).
Nov 23	answered	What does the general solution of the Schrodinger equation represent for the particle in a box problem?
Jan 4	awarded	Teacher
Jan 4	answered	Does the potential energy of fluid rising on a string change?